Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp x4 + 2x2 + 2

Q: Evaluate the integral | a (2° – 5)26 dx, by making the substitution u = x6 - 5. +C Note: Your answer…

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Q: 5 — 2х da J V12x – 4x2 12х —

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Q: e2 sec(e2")dr

A: We have to solve the integral: ∫e2x sece2xdx In this case we will use substitution method. So…

Q: f1+z+² /1+z+z? + 3z*dz

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: a + 3 da r2 + 10a + 74 е.

A: since you have ask multiple questions , so we will answering only first question.

Q: Evaluate the integral : dæ +C (x-7)(x+7)

A: We have to solve the integration

Q: 4. (ази t эзо

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Q: Evaluate the integral. -2x 11 x² d.x + C NOTE: Enter the exact answer.

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Q: x² + 2 xp (х — 2)(x2 — 2х + 2)

A: The given integral is: I=∫x2+2x-2x2-2x+2dx   We know that; ∫1ax+bdx=1alnax+b+C

Q: 12) Find each integral by substitution a) [xe dx -dx- b) 7+9

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Q: ind each integral by substitution. 1 a) S 3-2x p) S 5x*(x5 + 2)10dx

A: To integrate:  a)∫13-2xdx ∫13-2xdx Substituting,(3-2x)=t⇒dtdx=ddx(3-2x)⇒dtdx=-2…

Q: [t²cos n=tdt 2 Solve the integration by table or zeroing method, then arrange the integral and the…

A: Sol

Q: Hi, I was wondering how to do this and what the work would look like. thank you!

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Q: Evaluate the integrals dr b) 24 dy yVy-16 c) x+3 2r - 8x (6)

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Q: Graph the integrand and use areas to evaluate the integral. 7 22) [ ( x|+ 6) dx -7 A) 217 B) 182 C)…

A: We have to graph the integrand and use the areas to evaluate the integral.

Q: PART I. Evaluate the following integrals. Show all the necessary solutions. 2x³ 1. f ²x² +5x²-4dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use either integration by substitution x² +1 S x³+3x+5 dr given that A-5 and B=7 Give your answer to…

A: We need to evaluate the following integral ∫ABx2+1x3+3x+5dx, A = 5 and B = 7

Q: se euclirs lemma to show that the square of any positive integral is either ofform 3m+1 for some…

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Q: Solve the integral: A √√x 3 B 3√√x² +C √x² + C 6 D 6√√x +C اسے I dx

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Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

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Q: Find the value of the integral of , 2x? dx. a. 2 b.24 c. 6 d. 8

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Q: a) S In Gxt1) dx 2.

A: In this question we have to find the Integration. Formula Used, - Chain Rule. - ∫lnx=1x+C

Q: Calculate the integral and express your answer in simplest form. / 9z(x? – 10)® - dæ 5

A: Given∫9xx2-1085dx

Q: Evaluate the following integrals. dr x²Vx² – 9 13

A: We put x= 3sec(u) and differentiate both sides with respect to u and find the value of the given…

Q: y²dy V4-3y у

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Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: We have to evaluate the integral by completing square.…

Q: Find the integral. 4 25) x4 In 2x dx C) 391.74 D) 466.83 A) -202.72 B) 384.91

A: This question is based on integral by parts.

Q: x2 dx V(12 – 8)5

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Q: Evaluate the following integrals. 2x3 + 4x² + 7x – 6 dr 1. x4 – 3x2 – 4

A: Given:     ∫2x3+4x2+7x-6x4-3x2-4dx   Factor the denominator:     =∫2x3+4x2+7x-6x-2x+2x2+1dx Perform…

Q: Evaluate the integral by making an appropriate change of variables. 3e9x + 9y dA, where R is given…

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Q: FIND THE INTEGRAL OF YOUR ANSWERS IN 2a and 2b  Note: My answer on 2a and 2b will be found on the…

A: This is a problem related to integral of the function. Based on the general formula we will answer…

Q: Find the integral 52? + 3х — 2 dx +C x3 + 2x?

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Q: Determine the integral solutions  fro which x and y are positive 2x + 5y = 17

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Q: Choose correct answer for indefinite integral dæ 3 a) x æ +- * + C 373 b) 6x-8 – 20a-5+C c) 2x4 –…

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Q: Evaluate the integral 50 3)dx - by making the substitution u = x 6 – 3. + C NOTE: Your answer should…

A: We will integrate the following.

Q: Sx²e=* dx Sx²e¬

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Q: Use the technique of completing the square to evaluate the following integrals. x- 6x Show your…

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Q: J. 3x²dx Evaluate the indefinite integral. J; , and 9x6–12x3+4 • Identify what is the u=? and du=?…

A: We have to find the indefinite integral.

Q: Evaluate the integrals. Simplify your answers 3. S(12x5 + 14Vx² + 5csc²x)dx

A: ∫(12 x5 +14x25 +5csc2x)dx= 12 x66 + 14∫x25dx + -5 cotx= 2 x6 + 14 5x757 -5 cotx= 2x6 + 10x75 - 5cotx

Q: Use the numeric integration feature on your calculator to find the integral. 4. 27) A) 0.88623 B)…

A: We can find the answer as below.

Q: Evaluate the integral and choose the correct answer. fxe² dx O Ọ xe ttc o xe etc Ọ - xẻ +C xe - 2e +…

A: Topic = Integration

Q: Evaluate the integral: , (x2 + 3x)² (2x + 3) dx Choose the most appropriate answer. -464.67 O 81.67…

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Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

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Q: 3. Which integral should be evaluated using substitution? 9dx (b) dx 1+x2 1+9x2 (a)

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Q: 2x2 + 2x + 11 dx (2x + 3)(x² + 4) (c)

A: Evaluating the integral using partial fractions.

Q: Calculate the integral and express your answer in simplest form. | 9x?(1 – 3æ')* dæ

A: On solving this integral we will get

Q: Evaluate the integral. x dx (7x? + 3)°

A: Our Aim is to evaluate the integral given below:-∫x7x2+35dx-(i)

Q: r2 c-x+3 3 J(x-1)² 4x° dydx

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Q: d.x -x2-4x

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Q: √ √ 1 √x² - 2x + 5 dx

A: Indefinite Integration